kabrown1108 kabrown1108
  • 06-05-2020
  • Mathematics
contestada

If the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?

Respuesta :

PhantomWisdom PhantomWisdom
  • 10-05-2020

Answer:

the area of the circle is [tex]2.25\pi\ cm^2[/tex].

Step-by-step explanation:

We have,

Circumference of a circle is 3π cm

Formula of circumference of a circle is given by :

[tex]C=2\pi r[/tex]

r is radius of circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{3\pi }{2\pi}\\\\r=1.5\ cm[/tex]

Area of a circle is given by :

[tex]A=\pi r^2\\\\A=\pi (1.5)^2\\\\A=2.25\pi\ cm^2[/tex]

So, the area of the circle is [tex]2.25\pi\ cm^2[/tex].

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